Chiral transfer of angular momentum

Abstract

Suppose that viscous fluid is contained in the space between a fixed sphere $S_2$ and an interior sphere $S_1$ which moves with time-periodic velocity $\mathbf{U}(t)$ and angular velocity $\mathbf{\Omega }(t)$, with $⟨\mathbf{U}(t)⟩=⟨\mathbf{\Omega }(t)⟩=0$. It is shown that, provided this motion is chiral in character, it can drive a flow that exerts a non-zero torque on $S_2$. Thus angular momentum can be transferred through this mechanism.

11 pages, 13 figures